Document Type
Article
Department
Mathematics (HMC)
Publication Date
3-1988
Abstract
A bifurcation analysis is performed in the neighborhood of neutral stability for cross waves as a function of forcing, detuning, and viscous damping. A transition is seen from a subcritical to a supercritical bifurcation at a critical value of the detuning. The predicted hysteretic behavior is observed experimentally. A similarity scaling in the inviscid limit is also predicted. The experimentally observed bifurcation curves agree with this scaling.
Rights Information
© 1988 The American Physical Society
DOI
10.1103/PhysRevA.37.1663
Recommended Citation
S. Lichter & A. J. Bernoff, "Stability of Steady Cross-waves: Theory and Experiment," Phys. Rev. A 37 (1988) 1663-1667.
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Aerospace Engineering Commons, Applied Mathematics Commons, Mathematics Commons, Mechanical Engineering Commons
